Solve 1912/14-116/14

$$19 \frac { 12 } { 14 } - 11 \frac { 6 } { 14 }$$

Evaluate

$$\frac{59}{7}\approx 8.428571429$$

Solution Steps

Multiply 19 and 14 to get 266.

$$\frac{266+12}{14}-\frac{11\times 14+6}{14}$$

Add 266 and 12 to get 278.

$$\frac{278}{14}-\frac{11\times 14+6}{14}$$

Reduce the fraction \frac{278}{14} to lowest terms by extracting and canceling out 2.

$$\frac{139}{7}-\frac{11\times 14+6}{14}$$

Multiply 11 and 14 to get 154.

$$\frac{139}{7}-\frac{154+6}{14}$$

Add 154 and 6 to get 160.

$$\frac{139}{7}-\frac{160}{14}$$

Reduce the fraction \frac{160}{14} to lowest terms by extracting and canceling out 2.

$$\frac{139}{7}-\frac{80}{7}$$

Since \frac{139}{7} and \frac{80}{7} have the same denominator, subtract them by subtracting their numerators.

$$\frac{139-80}{7}$$

Subtract 80 from 139 to get 59.

$$\frac{59}{7}$$

Factor

$$\frac{59}{7} = 8\frac{3}{7} = 8.428571428571429$$